Work

Classification of Invariant 2-Conformal Vector Fields on 4D Non-Reductive Homogeneous Spaces

Year: 2026

Type: article

Abstract: The notion of 2-conformal vector fields on pseudo-Riemannian manifolds, which arose naturally in the study of hyperbolic solitons, is introduced by Fasihi-Ramandi, De, and Shamkhali. In this paper, we study invariant 2-conformal vector fields on four-dimensional non-reductive pseudo-Riemannian homogeneous manifolds G/H. Consequently, the complete classification of such vector fields is achieved, together with the necessary and sufficient conditions for their existence. The results are then applied to Lorentzian and neutral signatures, where 2-conformal vector fields provide an effective criterion for detecting 2-conformal equivalences in geometries with limited algebraic symmetries.

Source: Axioms

DOI: 10.3390/axioms15050353

Authors: Bang-Yen Chen, Foued Aloui, Majid Ali Choudhary, Ibrahim Al-Dayel

Institutions: Michigan State University, Imam Mohammad ibn Saud Islamic University, Maulana Azad National Urdu University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: Al-Imam Muhammad Ibn Saud Islamic University